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Finding the Third Proportional to 90,994 and 196,892

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Solution

The third proportional to 90,994 and 196,892 is: 426,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,994 : 196,892 = 196,892 : x
  2. Step 2: Convert to fraction form
    90,994/196,892 = 196,892/x
  3. Step 3: Cross multiply
    90,994x = 196,892 × 196,892
  4. Step 4: Simplify right side
    90,994x = 38,766,459,664
  5. Step 5: Solve for x
    x = 38,766,459,664/90,994
  6. Step 6: Final answer
    x = 426,033.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.